Question

please help with both questions, i have a test tomorrow PLEASE. Best answer gets best rating!!!

3. Given f(x) 2017 a. Find the equations of all vertical, horizontal, and/or slant asymptotes off. b. Sketch the graph of y = f(x). 4. Given ) --- a. Find the equations of all vertical, horizontal and/or slant asymptotes of b. Sketch the graph of y f (x).

Answer 1

Sol As given f(2)= - 2-2-3 24-2-3 2249-2 10 (a) For vertical Asymptothy 1. f(x) has undefined point at x²=0 x=0 so vertical Asymb totes =0 For horizontal asymptote, since degree numerator's same f(21) has denominator and then horizontal Asymbtote is Numerator's leading coefficient YE Denominator's leading coefficient b. y = y=1] → Horizontal Asymptote y = 1] since f'(X) = x+6 and set f'(20) = 0 Os Mono = x=-6] _ (+) (+) _ (sign of f'(on)) 66) 213 (+) + ) - (sign of f'(2) * f(x) f(21) has increasing has decreasing function function on (-00,-6) U10,00) on (-6,0) CSAlonefrigh has CamScanner local extrema at a=-6

(-0,1.083) (-3,1) (-1.303,0) (2.303,0)